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Finding the Fourth Proportional to 22,301.86, 33,400.04 and 19,364.20

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Solution

The fourth proportional to 22,301.86, 33,400.04 and 19,364.20 is: 29,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,301.86 : 33,400.04 = 19,364.20 : x
  2. Step 2: Convert to fraction form
    22,301.86/33,400.04 = 19,364.20/x
  3. Step 3: Cross multiply
    22,301.86x = 33,400.04 × 19,364.20
  4. Step 4: Simplify right side
    22,301.86x = 646,765,054.57
  5. Step 5: Solve for x
    x = 646,765,054.57/22,301.86
  6. Step 6: Final answer
    x = 29,000.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.